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Finding the Fourth Proportional to 102,693, 141,716.34 and 55,589

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Solution

The fourth proportional to 102,693, 141,716.34 and 55,589 is: 76,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693 : 141,716.34 = 55,589 : x
  2. Step 2: Convert to fraction form
    102,693/141,716.34 = 55,589/x
  3. Step 3: Cross multiply
    102,693x = 141,716.34 × 55,589
  4. Step 4: Simplify right side
    102,693x = 7,877,869,624.26
  5. Step 5: Solve for x
    x = 7,877,869,624.26/102,693
  6. Step 6: Final answer
    x = 76,712.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.